Home / 1,872.16-2,584.65-1,210

Finding the Fourth Proportional to 1,872.16, 2,584.65 and 1,210

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Solution

The fourth proportional to 1,872.16, 2,584.65 and 1,210 is: 1,670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.16 : 2,584.65 = 1,210 : x
  2. Step 2: Convert to fraction form
    1,872.16/2,584.65 = 1,210/x
  3. Step 3: Cross multiply
    1,872.16x = 2,584.65 × 1,210
  4. Step 4: Simplify right side
    1,872.16x = 3,127,426.50
  5. Step 5: Solve for x
    x = 3,127,426.50/1,872.16
  6. Step 6: Final answer
    x = 1,670.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.